Answer:
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Explanation:
The expression -2x plus 5 is represented by a linear equation. A linear equation is an equation that represents a straight line when graphed. It has the general form of y = mx + b, where m is the slope of the line and b is the y-intercept.
In this case, the expression -2x plus 5 can be written as y = -2x + 5. Here, -2 is the slope of the line and 5 is the y-intercept.
To understand this concept, let's look at an example. Let's say we have a line with a slope of -2 and a y-intercept of 5. This means that for every unit increase in the x-coordinate, the y-coordinate will decrease by 2 units. So, if we start at the point (0, 5) (where x = 0 and y = 5), we can move one unit to the right and two units down to get to the point (1, 3). Similarly, if we move two units to the right from the starting point, we would be at the point (2, 1).
When we connect all these points on a graph, we get a straight line. The line will continue infinitely in both directions, following the same slope and intercept.
In summary, the expression -2x plus 5 is represented by a linear equation because it can be written in the form y = -2x + 5, which represents a straight line on a graph.